  Ncert solutions

# Question 11

Q11) (a) Look at the following matchstick pattern of squares. The squares are not separate. Two neighboring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares. (Hint: If you remove the vertical stick at the end, you will get a pattern of Cs.) (b) Figs. Below gives a matchstick pattern of triangles. As in Exercise 11 (a) above find the general rule that gives the number of matchsticks in terms of the number of triangles. Solution: 4 matchsticks 7 matchsticks 10 matchsticks 13 matchsticks

If we remove 1 from each then they makes table of 3, i.e., 3, 6, 9, 12, …

So the required equation = 3x + 1 , where x is the number of squares. 3 matchsticks 7 matchsticks 10 matchsticks 13 matchsticks

If we remove 1 from each then they makes table of 2, i.e., 2, 4, 6, 8, ……

So the required equation = 2x + 1 , where x is the number of squares.

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